Poincare Inequalities in Punctured Domains

Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

The classic Poincare inequality bounds the $L^q$-norm of a function $f$ in a bounded domain $\Omega \subset {\mathbb{R}}^n$ in terms of some $L^p$-norm of its gradient in $\Omega$. We generalize this i…